#练习
#杨辉三角定义如下：

#          1
#         / \
#        1   1
#       / \ / \
#       1   2   1
#      / \ / \ / \
#     1   3   3   1
#    / \ / \ / \ / \
#   1   4   6   4   1
#  / \ / \ / \ / \ / \
# 1   5   10  10  5   1
#把每一行看做一个list，试写一个generator，不断输出下一行的list：

# -*- coding: utf-8 -*-

def triangles():
    L = [1]
    while True:
        yield L
        L = [x+y for x,y in zip( [0]+L, L+[0] )]


# 期待输出:
# [1]
# [1, 1]
# [1, 2, 1]
# [1, 3, 3, 1]
# [1, 4, 6, 4, 1]
# [1, 5, 10, 10, 5, 1]
# [1, 6, 15, 20, 15, 6, 1]
# [1, 7, 21, 35, 35, 21, 7, 1]
# [1, 8, 28, 56, 70, 56, 28, 8, 1]
# [1, 9, 36, 84, 126, 126, 84, 36, 9, 1]
n = 0
results = []
for t in triangles():
    print(t)
    results.append(t)
    n = n + 1
    if n == 10:
        break
if results == [
    [1],
    [1, 1],
    [1, 2, 1],
    [1, 3, 3, 1],
    [1, 4, 6, 4, 1],
    [1, 5, 10, 10, 5, 1],
    [1, 6, 15, 20, 15, 6, 1],
    [1, 7, 21, 35, 35, 21, 7, 1],
    [1, 8, 28, 56, 70, 56, 28, 8, 1],
    [1, 9, 36, 84, 126, 126, 84, 36, 9, 1]
]:
    print('测试通过!!')
else:
    print('测试失败!')